Let's preface this with the fact that I am not so happy about my job anyway. But I have been doing it, and doing it well, and trying not to whine too much about it. However, a couple of days ago they sent out a form that everyone is required to sign indicating that they agree to their information being put into a "treasury folder". This folder will contain Criminal History results, Consumer Credit results, Copy of Birth Certificate, Copy of state issued ID, Fingerprints, and other miscellaneous items.
It is probably not illegal for an employer to ask for any of these items, however, I feel that they hired me several years back without the stipulation that I give them this right to invade my privacy, so what need do they have to invade my privacy now? The thing is, they are being hypocritical. We deal with healthcare information, which I am happy to keep private in compliance with HIPAA, however, they want to keep our customers' data private while meanwhile digging through mine and sharing it with their customers. I don't agree to this.
So I am left in a quandary. I can't sign the agreement saying that I agree with it, because that would be committing perjury. However, if I don't sign it, they probably will fire me. This is an at-will state, so they can do that. I don't think it should be legal for an employer to demand your private, non-company related information and fire you if you choose not to comply.
Unfortunately, at this stage in my life, I do need the job. I have kids, and my other income sources do not generate enough to keep me above water without this job. However, every year I get a little more independent, and a little more likely to tell them to bite me when they come up with stuff like this.
The good news is I have an interview in about 1 minute with another company. Hopefully it will go well, and I can tell my company I do not wish to sign their paper and see how it goes.
More good news is that I talked with some other people who were wary about it, but were going to sign it because they thought they were the only one with concerns. Now I have about 5 people who aren't going to turn it in, so maybe our "union" can bring about some change.

Update 2008-09-08
Late last week I was brought in for "The Talk". Basically, I guess I am one of the last people who hasn't signed the paperwork allowing the company to investigate into areas of my life that they have no business investigating or keeping records on. I was told by the company lawyer that I would be terminated if I did not allow them to probe into my finances, credit history, and other personal information. I found some information in their documentation which said that after they fingerprinted me, this information would be turned over to the state law authorities as well. I told them that I absolutely disagreed with this procedure. Unfortunately, it was either sign the documents or be terminated. They also had language in there that said that if we refused to sign this stuff and were terminated then we would be considered to have "quit" and would not be eligible for unemployment. So they were pretty much strong arming me. So I ended up signing the documents because I have no other job to jump to at the moment, but I did verbally indicate to them that I was signing the documents indicating that I agreed, but that I did not agree and was only signing under duress. Also, I am writing this missive as further proof of my disagreement to their terms.